Metal-free Cvd Coating Of Graphene On Glass And Other Dielectric Substrates

Liu; Xinyuan ;   et al.

Patent Application Summary

U.S. patent application number 15/332562 was filed with the patent office on 2017-02-09 for metal-free cvd coating of graphene on glass and other dielectric substrates. The applicant listed for this patent is Corning Incorporated. Invention is credited to Xinyuan Liu, Robert George Manley, Robert Michael Morena, Zhen Song.

Application Number20170037510 15/332562
Document ID /
Family ID52649100
Filed Date2017-02-09

United States Patent Application 20170037510
Kind Code A1
Liu; Xinyuan ;   et al. February 9, 2017

METAL-FREE CVD COATING OF GRAPHENE ON GLASS AND OTHER DIELECTRIC SUBSTRATES

Abstract

A catalyst-free CVD method for forming graphene. The method involves placing a substrate within a reaction chamber, heating the substrate to a temperature between 600.degree. C. and 1100.degree. C., and introducing a carbon precursor into the chamber to form a graphene layer on a surface of the substrate. The method does not use plasma or a metal catalyst to form the graphene.


Inventors: Liu; Xinyuan; (Painted Post, NY) ; Manley; Robert George; (Vestal, NY) ; Morena; Robert Michael; (Lindley, NY) ; Song; Zhen; (Painted Post, NY)
Applicant:
Name City State Country Type

Corning Incorporated

Corning

NY

US
Family ID: 52649100
Appl. No.: 15/332562
Filed: October 24, 2016

Related U.S. Patent Documents

Application Number Filing Date Patent Number
14182819 Feb 18, 2014 9505624
15332562

Current U.S. Class: 1/1
Current CPC Class: Y10T 428/24975 20150115; C23C 16/44 20130101; C04B 41/85 20130101; Y10T 428/30 20150115; C01B 32/182 20170801; C03C 2217/28 20130101; C03C 17/22 20130101; C23C 16/26 20130101; C23C 16/0227 20130101; Y10T 428/265 20150115; Y10T 428/25 20150115; C01B 32/186 20170801; C03C 2218/152 20130101
International Class: C23C 16/26 20060101 C23C016/26; C03C 17/22 20060101 C03C017/22; C23C 16/02 20060101 C23C016/02; C23C 16/44 20060101 C23C016/44; C01B 31/04 20060101 C01B031/04; C04B 41/85 20060101 C04B041/85

Claims



1. A graphene-coated substrate, comprising a dielectric substrate; and a graphene layer formed in direct contact with a surface of the substrate, wherein the substrate comprises a glass, ceramic or glass-ceramic.

2. The graphene-coated substrate according to claim 1, wherein the substrate surface is free of a metal catalyst.

3. The graphene-coated substrate according to claim 1, wherein the graphene layer is free of a metal catalyst.

4. The graphene-coated substrate according to claim 1, wherein the graphene layer thickness is from 0.34 to 100 nm.

5. The graphene-coated substrate according to claim 1, wherein the graphene layer comprises a bi-layer graphene layer having two atomic layers of carbon.

6. The graphene-coated substrate according to claim 1, wherein the graphene layer comprises a tri-layer graphene layer having three atomic layers of carbon.

7. The graphene-coated substrate according to claim 1, wherein the graphene layer comprises N atomic layers of carbon, where 4.ltoreq.N.ltoreq.100.

8. The graphene-coated substrate according to claim 1, wherein the graphene layer grain size is from 10 to 100 nm.

9. The graphene-coated substrate according to claim 1, wherein the total concentration of water and hydroxyl groups at the graphene-substrate interface is less than 0.5 at. %.
Description



[0001] This is a divisional application of U.S. application Ser. No. 14/182,819 filed on Feb. 18, 2014, the content of which is relied upon and incorporated herein by reference in its entirety, and the benefit of priority under 35 U.S.C. .sctn.120 is hereby claimed.

BACKGROUND

[0002] Field

[0003] The present disclosure relates generally methods for forming graphene thin films, and more specifically to a CVD route for directly forming graphene layers directly on dielectric substrates.

[0004] Technical Background

[0005] Graphene is a two-dimensional allotrope of carbon. The structure of graphene includes a single planar sheet of sp.sup.2-hybridized carbon atoms arranged in a densely-packed honeycomb array. The carbon-carbon bond length in graphene is about 0.142 nm. A schematic of a graphene monolayer is shown in FIG. 1.

[0006] In essence, graphene is an isolated atomic plane of graphite. As a 2-dimensional crystalline material, graphene has unique properties including high intrinsic mobility (200,000 cm.sup.2V.sup.-1s.sup.-1), Young's modulus (.about.1,100 GPa), breaking strength (42 Nm.sup.-1), fracture strength (.about.125 GPa), thermal conductivity (.about.5000 Wm.sup.-1K.sup.-1), surface area (2,630 m.sup.2g.sup.-1), and an optical transmittance of .about.97%. With such remarkable properties, graphene has a wide variety of potential applications that range from nano-electromechanical resonators and high-performance field effect transistors to clean energy devices, sensors and antibacterial products.

[0007] Graphene was first isolated via mechanical exfoliation of highly-oriented pyrolytic graphite (HOPG). It is now well-known that tiny fragments of graphene sheets are produced whenever graphite is abraded, such as when drawing with a pencil. Graphene can also be obtained via carbon segregation by heating a carbon source such as silicon carbide to high temperature (>1100.degree. C.) at low pressure (.about.10.sup.-6 Torr) to reduce it to graphene.

[0008] The lack of a large-scale synthesis route for the production of high-quality graphene at low cost has substantially hampered its proliferation. Accordingly, it would be advantageous to develop an economical method for forming large area graphene.

BRIEF SUMMARY

[0009] In accordance with embodiments of the present disclosure, a method for forming graphene comprises placing a substrate within a reaction chamber, heating the substrate to a temperature between 600.degree. C. and 1100.degree. C., introducing a carbon precursor into the chamber and forming a graphene layer on a surface of the substrate, wherein the substrate is free of a metal catalyst and the chamber is free of plasma during the forming.

[0010] A graphene-coated substrate comprises a dielectric substrate such as a glass, ceramic or glass-ceramic substrate, and a graphene layer formed in direct contact with a surface of the dielectric substrate.

[0011] Additional features and advantages of the subject matter of the present disclosure will be set forth in the detailed description which follows, and in part will be readily apparent to those skilled in the art from that description or recognized by practicing the subject matter of the present disclosure as described herein, including the detailed description which follows, the claims, as well as the appended drawings.

[0012] It is to be understood that both the foregoing general description and the following detailed description present embodiments of the subject matter of the present disclosure, and are intended to provide an overview or framework for understanding the nature and character of the subject matter of the present disclosure as it is claimed. The accompanying drawings are included to provide a further understanding of the subject matter of the present disclosure, and are incorporated into and constitute a part of this specification. The drawings illustrate various embodiments of the subject matter of the present disclosure and together with the description serve to explain the principles and operations of the subject matter of the present disclosure. Additionally, the drawings and descriptions are meant to be merely illustrative, and are not intended to limit the scope of the claims in any manner.

BRIEF DESCRIPTION OF THE DRAWINGS

[0013] The following detailed description of specific embodiments of the present disclosure can be best understood when read in conjunction with the following drawings, where like structure is indicated with like reference numerals and in which:

[0014] FIG. 1 is a schematic diagram of graphene according to one embodiment;

[0015] FIG. 2 shows Raman spectra of graphene layers formed on silica substrates;

[0016] FIG. 3 is a plot of graphene grain size versus acetylene exposure time;

[0017] FIG. 4 is a plot of Raman G/2D intensity ratios versus total acetylene exposure;

[0018] FIG. 5 shows Raman spectra for graphene layers formed on silica (SiO.sub.2) substrates at 1000.degree. C. under different conditions of pressure and growth time;

[0019] FIGS. 6a and 6b are atomic force microscope (AFM) images of a graphene layer;

[0020] FIG. 7 shows Raman spectra for graphene formed on different glass substrates;

[0021] FIG. 8 shows Raman spectra for graphene formed on Eagle XG.RTM. glass and silica glass;

[0022] FIG. 9 is a plot of transmittance versus wavelength for graphene layers according to embodiments;

[0023] FIG. 10 is a plot of Van der Pauw sheet resistance for different graphene layers;

[0024] FIG. 11 is a plot of graphene sheet resistance versus transmittance at 550 nm;

[0025] FIG. 12 is a plot of Hall mobility for graphene layers on various glass substrates;

[0026] FIG. 13 shows Raman spectra for graphene formed on a cordierite honeycomb substrate;

[0027] FIG. 14 is an SEM micrograph of a graphene-coated cordierite crystallites according to embodiments;

[0028] FIG. 15 is an SEM micrograph of a graphene layer formed on cordierite according to embodiments; and

[0029] FIG. 16 is an SEM micrograph of wrinkles formed in a graphene layer according to embodiments.

DETAILED DESCRIPTION

[0030] Reference will now be made in greater detail to various embodiments of the subject matter of the present disclosure, some embodiments of which are illustrated in the accompanying drawings. The same reference numerals will be used throughout the drawings to refer to the same or similar parts.

[0031] Direct CVD growth of graphene on dielectric substrates is disclosed. The method is performed without plasma or a metal catalyst. According to embodiments, a graphene-coated substrate comprises a graphene layer formed in direct contact with a surface of a dielectric substrate. The substrate can comprise glass, ceramic or glass-ceramic.

[0032] In contrast to conventional layer transfer methods, the instant CVD approach involves fewer processing steps, which minimizes the potential for contamination of or damage to the graphene layer or graphene-substrate interface. For example, the graphene-substrate interface can be free of molecular adsorbates such as water and hydroxyl groups. In embodiments, the concentration of such molecular adsorbates at the graphene-substrate interface is less than 0.5 at. %. The present CVD method may be used to form well-adhered graphene layers on planar and non-planar substrates including substrates have concave or convex features such as porous substrates and honeycomb substrates.

[0033] Graphene is essentially a one-atom thick layer of graphite. In the graphene structure, carbon atoms are covalently bonded to each other. As illustrated in FIG. 1, the plurality of carbon atoms may form six-membered rings as the typical repeating unit. Graphene may further comprise 5-membered and/or 7-membered rings. Thus, graphene manifests as a single layer or plural layers of covalently bonded (sp.sup.2 hybridized) carbon atoms. The graphene layer thickness may range from about 0.34 nm (monolayer) to 100 nm (plural layers). In embodiments, a graphene layer may include up to 100 atomic layers of carbon. Thus, in addition to monolayer, bi-layer and tri-layer graphene, a graphene layer may comprise N atomic layers of carbon where 4.ltoreq.N.ltoreq.100.

[0034] Graphene layer(s) are formed via thermal decomposition of a carbon precursor. Example carbon precursors include acetylene, ethylene and methane. Acetylene, which has a comparatively low dissociation temperature, was used in several experiments to deposit graphene on non-metal-catalyzed substrates without the use of plasma. In embodiments, the substrate is free of a metal catalyst such as copper or nickel, which are used conventionally to induce graphene formation. In embodiments, no metal catalyst is in physical contact with the substrate during graphene deposition on the substrate.

[0035] In an example process, a substrate is placed within a reaction chamber and acetylene (or another carbon precursor) is introduced into the chamber at a specified chamber pressure while the substrate is heated to a specified substrate temperature. The chamber pressure may range from 0.001 Torr to 760 Torr (e.g., 0.001, 0.002, 0.005, 0.01, 0.02, 0.05, 0.1, 0.2, 0.5, 1, 2, 5, 10, 20, 50, 100, 200, 500 or 760 Torr, including ranges between any of the foregoing values), and the substrate temperature during the deposition may range from 600.degree. C. to 1100.degree. C. (e.g., 600, 700, 800, 900, 100 or 1100.degree. C., including ranges between any of the foregoing values). Substrates may include dielectric substrates such as glass, ceramic and glass-ceramic materials. Using the disclosed CVD process enables direct deposition of graphene on many different glass substrates. Example substrates include Eagle XG.RTM. glass, Corning Willow.TM. glass, and Corning Lotus.TM. glass. In contrast to PECVD, which is restricted to near line-of-sight layer growth due to shadowing and plasma penetration limitations, thermal CVD can be used to form graphene layer(s) within the pores or channels of a substrate.

[0036] The graphene layers may be characterized by an average thickness ranging from 5 to 50 nm and an average grain size ranging from 10 to 100 nm, e.g., 15 to 40 nm or 20 to 30 nm. Optionally, the average grain size of the CVD deposited graphene layers can be increased using a post-deposition heat treatment such as a vacuum heat treatment. A post-deposition heat treatment can increase one or both of the conductivity and transparency of the graphene.

EXAMPLES

Example 1

Graphene Layers Formed on Silica Glass

[0037] Fused SiO.sub.2 glass substrates were cut into coupons measuring 1 in.times.0.75 in. The individual coupons were cleaned by first immersing for 3 min in 5N NH.sub.4OH, and then rinsing alternately with 18 M.OMEGA. water and methanol. After rinsing, the silica pieces were inserted into a 1 in diameter tube furnace. The reaction chamber was evacuated using a mechanical pump to a base pressure of 5.times.10.sup.-2 Torr. The substrate temperature was increased to the deposition temperature and acetylene gas was introduced to the reaction chamber at a prescribed pressure.

[0038] Raman spectroscopy was used to characterize the resulting graphene layers. Raman spectra of graphene layers formed on silica (SiO.sub.2) substrates at substrate temperatures ranging from 600.degree. C. to 1100.degree. C. are shown in FIG. 2. The respective D, G and 2D graphene peaks are indicated.

[0039] The G band (.about.1580 cm.sup.-1) and 2D band (.about.2700 cm.sup.-1) are characteristic features of graphene. The G band is due to in-plane resonance from graphitic sp.sup.2 bonding. Without wishing to be bound by theory, the intensity of the G band peak is proportional to the amount of graphitic structure within the graphene. The 2D band originates from a two phonon double resonance Raman process, and is closely related to the band structure of graphene layers. The D band provides an indication of the amount of defects within the graphene layer(s).

[0040] From the intensity ratio of the D/G bands, the size of the graphene grains can be determined from the equation d=)(2.4.times.10.sup.-10).lamda..sup.4/(I.sub.D/I.sub.G), where .lamda.=514 nm. A plot of grain size versus acetylene exposure time for various growth temperatures is shown in FIG. 3. In FIG. 3, the graphene grain size ranges from about 17 nm to about 27 nm, which corresponds to respective D/G ratios of 0.99 and 0.62. The D/G ratio may range from 0.6 to 1.5 (e.g., 0.6, 0.7, 0.8, 0.9, 1.0, 1.1, 1.2, 1.3, 1.4 or 1.5, including ranges between any of the foregoing values).

[0041] The intensity of the 2D band is inversely proportional to the thickness of the graphitic layers. Monolayer graphene is characterized by a G/2D ratio of less than 1. Bi-layer graphene is characterized by a G/2D ratio of unity. Multilayer graphene is characterized by a G/2D ratio greater than 2.

[0042] FIG. 4 is a plot of Raman intensity ratio (G/2D) versus acetylene exposure (pressure.times.time) for various growth temperatures. Generally, the higher the deposition (substrate) temperature, the flatter the graphene grains. In FIG. 4, the minimum G/2D intensity ratio is 2.1, indicating that the graphene contains only a few layers of carbon.

[0043] Shown in FIG. 5 are Raman spectra for graphene layers formed on silica (SiO.sub.2) substrates at 1000.degree. C. for reaction chamber pressures ranging from 0.1 to 1 Torr and growth times ranging from 30 to 60 min. The D band intensity decreases and the 2D band intensity increases with increased deposition time, consistent with larger and flatter grains. As a function of deposition pressure, the 2D band intensity exhibits a maximum at intermediate pressures (.about.0.5 Torr) and decreases at both lower (0.1 Torr) and higher (1 Torr) pressure.

[0044] FIG. 6a is an atomic force microscope (AFM) image of a graphene layer on a silica substrate. FIG. 6b is an AFM image of the graphene layer partially delaminated from the substrate using Scotch tape. A height profile is also shown in FIG. 6b. The graphene layer was formed at a substrate temperature of 1000.degree. C. The data shown in FIGS. 6a and 6b correspond to the second trace from FIG. 5 (0.5 Torr acetylene; 60 min.). The graphene layer thickness is 10-20 nm.

Example 2

Graphene Layers Formed on Different Glass Substrates

[0045] A high temperature glass containing SiO.sub.2, Al.sub.2O.sub.3, MgO and CaO (ARV glass) with the composition shown in the Table 1 was ground into glass frit, and pressed into pellets. The pellets were sintered at 1000.degree. C. for 2 hours and used as substrates for direct graphene growth. A comparison of the graphene layers formed on the ARV glass was made to graphene grown at the same condition on SiO.sub.2 glass, a comparative Ni-coated SiO.sub.2 glass, and a comparative Ni-containing glass (AXZ glass) substrate.

TABLE-US-00001 TABLE 1 ARV and AXZ glass substrate compositions (mole %) ARV AXZ SiO2 51.9% 49.1% Al2O3 22.8% 21.6% MgO 18.2% 17.2% CaO 7.1% 6.8% NiO 4.7%

[0046] Raman spectra of comparative graphene layers formed on catalyzed substrates and inventive graphene layers formed on non-catalyzed substrates at 1000.degree. C. in 0.5 Torr acetylene for 1 h are shown in FIG. 7. The substrates include (a) nickel coated silica glass, (b) nickel-containing glass (AZX), (c) silica glass, and (d) nickel-free glass (ARV). Graphene layers formed on the nickel-coated silica glass and the nickel-containing glass are comparative. The presence of Ni, either as a thin layer on the deposition surface or incorporated into the glass composition, enhances the graphene grain size (lower intensity D band) and flattens the grain shape (higher intensity 2D band). The quality of the graphene layers formed on ARV glass was similar to that of the graphene formed on SiO.sub.2 glass.

[0047] FIG. 8 shows similar Raman spectra for graphene layers deposited via CVD at 700.degree. C. in 10 Torr acetylene for 1 hr onto a Corning Eagle XG.RTM. glass substrate and onto a silica glass substrate.

Example 3

Electrical and Optical Properties of Graphene

[0048] Transmittance spectra for graphene layers formed via acetylene CVD on silica (SiO.sub.2) substrates at 1100.degree. C. using a reaction chamber pressure of 0.5 Torr for growth times of 5, 12 and 30 min are shown in FIG. 9. At 550 nm, as the growth time and therefore the layer thickness increases, the transmittance decreases from 94.46% to 75.69% to 63.58%, respectively. Van der Pauw sheet resistance data are plotted in FIG. 10 for graphene layers formed via acetylene CVD at 1100.degree. C. using a reaction chamber pressure of 0.5 Torr for various growth times. FIG. 11 is a plot of sheet resistance versus transmittance at 550 nm. This data indicate that the graphene layers deposited at 900-1100.degree. C. are similar in quality, while layers formed at lower temperatures have a lower quality. FIG. 12 is a plot of Hall mobility data for graphene layers on various glass substrates. The Hall mobility ranges from 1 to 300 cm.sup.2Ns. Higher mobility is associated with a higher deposition temperature.

Example 4

Post-Deposition Graphene Refinement

[0049] Several post-deposition approaches were explored with the goal of improving the quality of the as-deposited layers. In embodiments, a post-CVD vacuum heat treatment was used. The heat treatment was conducted within the reaction chamber after stopping the flow of carbon precursor.

[0050] The heat treatment temperature may range from 900.degree. C. to 1200.degree. C., e.g., 900, 1000, 1100 or 1200.degree. C. for 0.25, 0.5 or 1 hr. As an example, a graphene on silica glass sample, which was deposited at 1000.degree. C. in 0.5 Torr acetylene for 30 min, was heated at 1000.degree. C. in vacuum (5.times.10.sup.-6 torr) for 1 hr. The Raman-measured graphene grain size increased nearly 12%, from 22.5 nm to 25.1 nm.

[0051] In embodiments, the as-deposited graphene can be covered with a metal foil or a metal-coated substrate such that the metal is in contact with the graphene during the post-deposition heat treatment. Example metals include nickel or copper.

[0052] A graphene layer was formed on a silica substrate at 1000.degree. C. in 0.5 Torr acetylene for 90 min. After the deposition, the graphene was heated at 1000.degree. C. in vacuum (5.times.10.sup.-6 torr) for 1 hr during which time the graphene surface was cover by a Ni-coated (200 nm) SiO.sub.2 glass, a Ni foil or a nickel-containing glass. The post-deposition heat treatment using the nickel-coated glass in contact with the graphene increased the graphene grain size from 25.52 nm to 26.88 nm (5.3%) and the post-deposition heat treatment using nickel foil in contact with the graphene increased the graphene grain size from 25.52 nm to 26.73 nm (4.7%).

Example 5

Remote Graphene Catalysis

[0053] In embodiments, a metal foil, metal-coated substrate or metal-containing substrate can be placed proximate to the dielectric substrate such that the metal is not in physical contact with the graphene or the dielectric substrate during graphene growth. By proximate is meant that the metal foil, metal-coated substrate or metal-containing substrate is at a distance of less than 5 mm (e.g., about 0.5, 1, 2 or 5 mm) from the dielectric substrate.

[0054] A graphene layer was formed on a silica substrate at 900.degree. C. in 0.5 Torr acetylene for 90 min. During the graphene growth, a nickel-containing glass (AXZ glass) was placed proximate to the silica substrate. The graphene grain size on a silica substrate without the remote catalyst was 21.75 nm, while the graphene grain size using the remote nickel-containing glass was 35.12 nm.

Example 6

CVD-Derived Graphene on Cordierite Honeycomb Substrates

[0055] Graphene was formed on a cordierite honeycomb substrate (cell density 400 cpsi, wall thickness 4 mil). Example deposition conditions were 1000.degree. C. in 0.5 Torr C.sub.2H.sub.2 for 1 hr. Graphene was formed throughout the honeycomb channels and within the pores of the channel walls, which was evidenced by the uniform color change of the honeycomb substrate from pale yellow to black. Following graphene deposition, the entire honeycomb substrate is conductive. The measured conductivity is equal to the conductivity of a graphene layer on a planar glass substrate, which is consistent with the formation of a continuous thin film. Raman spectra taken from the exposed channel wall surface (A) and from a fracture surface within a channel wall (B) are shown in FIG. 13. No significant difference in the spectra were observed for the two locations.

[0056] FIG. 14 is an SEM micrograph of graphene-coated cordierite. A pore 800 in the cordierite structure is evident. In the fractured sample of FIG. 15, adjacent to fracture surface 830, the graphene layer 810 and the cordierite surface 820 are visible. Wrinkles 815 in the graphene layer 810 are shown in FIG. 16. In embodiments, the graphene coats the channels and pores of the honeycomb such that both the channels and the pores of honeycomb remain open.

[0057] Graphene-coated dielectric substrates, including graphene-coated honeycomb substrates, can be used in a variety of applications, including as electrical and thermal conductive substrates, hydrogen storage, ultracapacitor electrodes, electrical catalyst supports, etc.

[0058] As used herein, the singular forms "a," "an" and "the" include plural referents unless the context clearly dictates otherwise. Thus, for example, reference to a "carbon precursor" includes examples having two or more such "carbon precursors" unless the context clearly indicates otherwise.

[0059] Ranges can be expressed herein as from "about" one particular value, and/or to "about" another particular value. When such a range is expressed, examples include from the one particular value and/or to the other particular value. Similarly, when values are expressed as approximations, by use of the antecedent "about," it will be understood that the particular value forms another aspect. It will be further understood that the endpoints of each of the ranges are significant both in relation to the other endpoint, and independently of the other endpoint.

[0060] Unless otherwise expressly stated, it is in no way intended that any method set forth herein be construed as requiring that its steps be performed in a specific order. Accordingly, where a method claim does not actually recite an order to be followed by its steps or it is not otherwise specifically stated in the claims or descriptions that the steps are to be limited to a specific order, it is no way intended that any particular order be inferred. Any recited single or multiple feature or aspect in any one claim can be combined or permuted with any other recited feature or aspect in any other claim or claims.

[0061] It is also noted that recitations herein refer to a component being "configured" or "adapted to" function in a particular way. In this respect, such a component is "configured" or "adapted to" embody a particular property, or function in a particular manner, where such recitations are structural recitations as opposed to recitations of intended use. More specifically, the references herein to the manner in which a component is "configured" or "adapted to" denotes an existing physical condition of the component and, as such, is to be taken as a definite recitation of the structural characteristics of the component.

[0062] While various features, elements or steps of particular embodiments may be disclosed using the transitional phrase "comprising," it is to be understood that alternative embodiments, including those that may be described using the transitional phrases "consisting" or "consisting essentially of," are implied. Thus, for example, implied alternative embodiments to a substrate comprising glass, ceramic or glass-ceramic include embodiments where a substrate consists of glass, ceramic or glass-ceramic and embodiments where a substrate consists essentially of glass, ceramic or glass-ceramic.

[0063] It will be apparent to those skilled in the art that various modifications and variations can be made to the present invention without departing from the spirit and scope of the invention. Since modifications, combinations, sub-combinations and variations of the disclosed embodiments incorporating the spirit and substance of the invention may occur to persons skilled in the art, the invention should be construed to include everything within the scope of the appended claims and their equivalents.

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